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Sequential Formation of Coalitions through Bilateral Agreements

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Abstract

We study a sequential protocol of endogenous coalition formation based on a process of bilateral agreements among the players. We apply the game to a Cournot environment with linear demand and constant average costs. We show that the final outcome of any Subgame Perfect Equilibrium of the game is the grand coalition, provided the initial number of firms is high enough and they are sufficiently patient.

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Bibliographic Info

Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 515.02.

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Length: 24
Date of creation: 14 Jun 2002
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Handle: RePEc:aub:autbar:515.02

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Keywords: Coalition Formation; Bilateral Agreements;

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  1. Nilssen, T. & Sorgard, L., 1995. "Sequential Horizontal Mergers," Memorandum 30/1995, Oslo University, Department of Economics.
  2. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  3. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
  4. Kamien, Morton I & Zang, Israel, 1990. "The Limits of Monopolization through Acquisition," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 465-99, May.
  5. Effrosyni Diamantoudi & Licun Xue, . "Coalitions, Agreements and Efficiency," Economics Working Papers 2002-9, School of Economics and Management, University of Aarhus.
  6. Montero, M.P., 1999. "Coalition Formation in Games with Externalities," Discussion Paper 1999-121, Tilburg University, Center for Economic Research.
  7. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
  8. Gautam Gowrisankaran & Thomas J. Holmes, 2000. "Do mergers lead to monopoly in the long run? Results from the dominant firm model," Staff Report 264, Federal Reserve Bank of Minneapolis.
  9. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  10. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
  11. Seidmann, Daniel J & Winter, Eyal, 1998. "A Theory of Gradual Coalition Formation," Review of Economic Studies, Wiley Blackwell, vol. 65(4), pages 793-815, October.
  12. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
  13. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
  14. repec:fth:tilbur:99121 is not listed on IDEAS
  15. Salant, Stephen W & Switzer, Sheldon & Reynolds, Robert J, 1983. "Losses from Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 185-99, May.
  16. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
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Cited by:
  1. J Peter Neary, 2004. "Cross-Border Mergers as Instruments of Comparative Advantage," Working Papers 200404, School Of Economics, University College Dublin.
  2. Katharine A. Anderson, . "Group Formation with a Network Constraint," GSIA Working Papers 2012-E49, Carnegie Mellon University, Tepper School of Business.
  3. Juan Vidal-Puga, 2004. "Forming societies and the Shapley NTU value," Game Theory and Information 0401003, EconWPA.
  4. Fumagalli, Eileen & Vasconcelos, Helder, 2006. "Cross-Border Merger Waves," CEPR Discussion Papers 5601, C.E.P.R. Discussion Papers.

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